Finite coverings by subgroups with a given property

DOI10.1017/S0017089500009733zbMath0787.20017OpenAlexW1999684711MaRDI QIDQ4202631

Luise-Charlotte Kappe, Marc A. Brodie

Publication date: 29 May 1994

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500009733

zbMATH Keywords

nilpotent subgroupsupper central seriesfinite indexmaximal nilpotent subgroupscharacteristic subgroupsubgroup of finite indexderived groupright-2-Engel elements\(n\)-abelian subgroups2-central subgroupsfinite coverings of groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Chains and lattices of subgroups, subnormal subgroups (20E15) Associated Lie structures for groups (20F40) FC-groups and their generalizations (20F24)

Related Items

Finite \(n\)-coverings of groups, FINITE SUBNORMAL COVERINGS OF CERTAIN SOLVABLE GROUPS, Covering modules by proper submodules, On profinite groups with commutators covered by nilpotent subgroups, On loops covered by subloops.

Cites Work

• Groups with 3-Abelian normal closures
• Finite Coverings by Normal Subgroups
• Verbal and marginal subgroups.
• Factorization of n-Soluble and n-Nilpotent Groups
• Groups Covered By Permutable Subsets